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Simplifying -6r + 5(-3 + 6r) = 39 + 6r -6r + (-3 * 5 + 6r * 5) = 39 + 6r -6r + (-15 + 30r) = 39 + 6r Reorder the terms: -15 + -6r + 30r = 39 + 6r Combine like terms: -6r + 30r = 24r -15 + 24r = 39 + 6r Solving -15 + 24r = 39 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -15 + 24r + -6r = 39 + 6r + -6r Combine like terms: 24r + -6r = 18r -15 + 18r = 39 + 6r + -6r Combine like terms: 6r + -6r = 0 -15 + 18r = 39 + 0 -15 + 18r = 39 Add '15' to each side of the equation. -15 + 15 + 18r = 39 + 15 Combine like terms: -15 + 15 = 0 0 + 18r = 39 + 15 18r = 39 + 15 Combine like terms: 39 + 15 = 54 18r = 54 Divide each side by '18'. r = 3 Simplifying r = 3
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